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Finding the Third Proportional to 89,971,819,692 and 187,390,553,988

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Solution

The third proportional to 89,971,819,692 and 187,390,553,988 is: 390,291,313,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,971,819,692 : 187,390,553,988 = 187,390,553,988 : x
  2. Step 2: Convert to fraction form
    89,971,819,692/187,390,553,988 = 187,390,553,988/x
  3. Step 3: Cross multiply
    89,971,819,692x = 187,390,553,988 × 187,390,553,988
  4. Step 4: Simplify right side
    89,971,819,692x = 35,115,219,723,929,541,148,672
  5. Step 5: Solve for x
    x = 35,115,219,723,929,541,148,672/89,971,819,692
  6. Step 6: Final answer
    x = 390,291,313,926.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.